A long time in storage space (4)
I believe the answer is:
ages
'a long time' is the definition.
(ages can mean a very long time)
'in storage space' is the wordplay.
'in' indicates the answer is hidden within the clue.
'AGES' is hidden in the letters of 'storage space'.
(Other definitions for ages that I've seen before include "Rock of - - (hymn)" , "A long time (colloq.)" , "Yonks" , "Awfully long time" , "Times" .)